The incompleted expression.

Algebra Level 4

\[x^3 + y^3 + z^3 = nx^2y^2z^2\] Find the sum of all possible value of \(n \in \mathbb N^*\) so that the expression above has at least one possible solution of \(x\); \(y\); \(z\) \(\in \mathbb N^*\).


This is part of the siries: "It's easy, believe me!"

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